Supplementary information: 
Supplemental Table S1. Cross-validation (CV) error for different choices of K
Supplemental Table S2. List of the significant integrated haplotype score measures (iHS) for crossbred buffaloes
Supplemental Table S3. List of the top 10 regions identified by the integrated haplotype score measures (iHS), and the genes present within them.
Supplemental Table S4. List of the significant CLR value for crossbred buffaloes.
Supplemental Table S5. List of the top 10 regions identified by CLR test, and the genes present within them.
Supplemental Table S6. List of the significant XP-EHH values for crossbred buffaloes
Supplemental Table S7. GO and KEGG analysis of candidate genes under selection in crossbred buffaloes
Supplemental Table S8. Summary of the QTLs related to milk, production, reproduction, health, meat and carcass, and exterior traits located within selection signatures
